Computable estimates of the distance to the exact solution of the evolutionary reaction–diffusion equation

摘要

We derive guaranteed bounds of distance to the exact solution of the evolutionary reaction–diffusion problem with mixed Dirichlet–Neumann boundary condition. It is shown that two-sided error estimates are directly computable and equivalent to the error. Numerical experiments confirm that estimates provide accurate two-sided bounds of the overall error and generate efficient indicators of local error distribution.